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Finding the Fourth Proportional to 882.56, 1,321.39 and 447.58

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Solution

The fourth proportional to 882.56, 1,321.39 and 447.58 is: 670.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.56 : 1,321.39 = 447.58 : x
  2. Step 2: Convert to fraction form
    882.56/1,321.39 = 447.58/x
  3. Step 3: Cross multiply
    882.56x = 1,321.39 × 447.58
  4. Step 4: Simplify right side
    882.56x = 591,427.74
  5. Step 5: Solve for x
    x = 591,427.74/882.56
  6. Step 6: Final answer
    x = 670.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.